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30. Juni 2017 · An equation like $(x-r)^2+y^2=r^2$ for a positive infinite hyperreal number $r$ gives a circle of an infinite radius in the hyperreal plane. One can take the finite part $F$ of the circle, i.e., points with both coordinates finite.
A general equation for a circle of finite radius might be $(x-a)^2+(y-b)^2=r^2$ where the centre is at $x=a,y=b$ while the radius is $r$, but this does not make much sense when any of $a,b,r$ are infinite. $\endgroup$
1. Jan. 2019 · Consider a variable point $C \in L$, and consider the circle with center $C$ and radius $CP$. This circle crosses the line at right angles at the point $P$. As $C$ goes to infinity in one direction along the line, what can happen? Is there some limiting shape to this circle as $C$ approaches an infinite end of the line $L$?
- A "circle", by definition, has finite radius. One can say that the limit of a sequence of circles, all passing through two given points, is the str...
- The answer you are looking for kind of depends, as your question is not truely well-defined. The answer of @user247327, assuming additionally 2 giv...
- Suppose you take a straight line $L$ and fix a point $P \in L$ . Consider a variable point $C \in L$ , and consider the circle with center $C$ and...
12. Jan. 2011 · View credits, reviews, tracks and shop for the 2011 CD release of "Circle Of Infinite Radius" on Discogs.
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19. Jan. 2011 · A Brutal Resonance review of System - Circle of Infinite Radius (Synthpop)
Animiert durch einen Live-Auftritt der Schweden war ich ihrer Musik verfallen… Aber dann folgten leider eher unbedeutende Veröffentlichungen, und so betrachtete ich die Ankunft ihres neuen Werkes „Circle Of Infinite Radius“ mit einem weinenden und einem lachenden Auge.
Explore the tracklist, credits, statistics, and more for Circle Of Infinite Radius by System. Compare versions and buy on Discogs
